{"status": "success", "data": {"description_md": "Triangles $\\triangle ABC$ and $\\triangle A'B'C'$ lie in the coordinate plane with vertices $A(0,0)$, $B(0,12)$, $C(16,0)$, $A'(24,18)$, $B'(36,18)$, and $C'(24,2)$. A rotation of $m$ degrees clockwise around the point $(x,y)$, where $0<m<180$, will transform $\\triangle ABC$ to $\\triangle A'B'C'$. Find $m+x+y$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Triangles <span class=\"katex--inline\">\\triangle ABC</span> and <span class=\"katex--inline\">\\triangle A'B'C'</span> lie in the coordinate plane with vertices <span class=\"katex--inline\">A(0,0)</span>, <span class=\"katex--inline\">B(0,12)</span>, <span class=\"katex--inline\">C(16,0)</span>, <span class=\"katex--inline\">A'(24,18)</span>, <span class=\"katex--inline\">B'(36,18)</span>, and <span class=\"katex--inline\">C'(24,2)</span>. A rotation of <span class=\"katex--inline\">m</span> degrees clockwise around the point <span class=\"katex--inline\">(x,y)</span>, where <span class=\"katex--inline\">0&lt;m&lt;180</span>, will transform <span class=\"katex--inline\">\\triangle ABC</span> to <span class=\"katex--inline\">\\triangle A'B'C'</span>. Find <span class=\"katex--inline\">m+x+y</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2020 AIME II Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/20_aime_II_p05", "prev": "/problem/20_aime_II_p03"}}